摘要

We use Godeaux-Serre varieties of finite groups, projective representation theory, the twisted Atiyah-Segal completion theorem, and our previous work on the topological period-index problem to compute the etale index of Brauer classes alpha is an element of Br-et(X) in some specific examples. In particular, these computations show that the etale index of alpha differs from the period of alpha in general. As an application, we compute the index of unramified classes in the function fields of high-dimensional Godeaux-Serre varieties in terms of projective representation theory.

  • 出版日期2013-4